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Paper IPM / Astronomy / 17443  


Abstract:  
We study the vacuum zero point energy associated to a scalar field with an arbitrary mass and conformal coupling in a dS background. Employing dimensional regularization scheme, we calculate the regularized zero point energy density, pressure and the trace of the energy momentum tensor. It is shown that the classical relation Ã¢?Â¨TÃ¢?Â©=Ã¢??4Ã¢?Â¨Ãï¿½Ã¢?Â© for the vacuum stress energy tensor receives anomalous quantum correction which depends on the mass and the conformal coupling while the relation Ã¢?Â¨Ãï¿½Ã¢?Â©=Ã¢??Ã¢?Â¨PÃ¢?Â© does hold. We calculate the density contrast associated to the vacuum zero point energy and show that ÃÂ´Ãï¿½Ã¢?Â¼Ã¢?Â¨Ãï¿½Ã¢?Â© indicating an inhomogeneous and nonperturbative distribution of the zero point energy. Finally, we calculate the skewness associated to the distribution of the zero point energy and pressure and show that they are highly nonGaussian
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